The following Boolean expressions simplified by using a four-variable map: A'BC'D' + BC'D + A'C'D + A'BCD + ACD' gives: F= C'D + A'BD + A'B'C' F= C'D + A'BD + A'B'C F= C'D + A'B'D + A'B'C none of the preceding
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Step by step
Solved in 2 steps with 2 images
- Write the complete (unsimplified) Boolean Equation for the circuit Using the rules and laws of Boolean algebra reduce the Boolean equation for the circuit to it's simplest form. Make sure to show all of your steps. Draw the simplified circuit. Note that junction points are shown by dots. If two lines cross and there is no dot at the intersection they are not connected.This is the problem: Consider the Boolean expression (X+Y)(+Z)(Y+Z). Obtain the sum-of-products. Use a K-map to obtain its minimal sum-of-products. The image below is how far I got. Every K-Map exercise I've done so far has always had minterms with the same number of variables, but I came up with this SOP that has 2 and 3 variable minterms; so I don't know if I did something wrong in obtaining the SOP or how I'm supposed to enter the minterms in the K-Map here. XConvert combinational circuits to Booleans functions with applying K-map on extracted terms to get the optimized versions of both of them.
- Prove this using boolean algebra and show detailed solutionBC + AC + AB Answer must be AB + C (A XOR B)Q4: Simplify the following Boolean expression using K-Map x'z+w'xy'+w(x'y+xy') (check image for reference)Convert both numbers into binary form then construct to circuit in order to calculate the result “S” for the operation given below. Assume that no Carry was available initially. S=1453-1071 Thank you :)
- Explain the working of 8 bit-DAC using R/2R network. please Answer fast.Convert both numbers into binary form then construct to circuit in order to calculate the result “S” for the operation given below. Assume that no Carry was available initially.(S=1453-1071)I want this soln as soon as possible Kindly draw k-map for functionF1(A,B,C,D) = Σm(3,7,8,9,11,15) F2(A,B,C,D) = Σm(3,4,5,7,10,14,15) and what is the number of minterms of F1 and F2 and what is the number of AND gates to used for function And what is the number of OR gates to be used for function
- 1. Implement a full adder with two 4 x 1 multiplexers. 2. An 8 x 1 multiplexers has inputs A, B and C connected to the selection inputs, S1, S2 and S0, respectively. The data inputs Io through I7 are as follows, I1=I2=I3=0; I3=I5= 1; I4= D and I6= D’ I7=1 Determine the Boolean function that the multiplexer implements 3. Construct a 16 x 1 multiplexer with two 8 x1 and one 2 x 1 multiplexer. Use block diagram for the three multiplexersQuestion 1Write boolean expression E(a,b,c) = (a + b'c)(b+c') into complete sum-of-products form.Mark it like this:1. After De morgan lawE = ...2. After Distributive lawE = ...3. After Commutative lawE = ...4. After Idempotent lawE = ...5. After complement lawE = ...6. Complete sum-of-products form.E = ...Q3: Determine the output of DAC in 82 if the sequence of 4-bit ‘numbers are applicd to the inputs. The data inputs have a low value f 0V and a high value of +5V. 200k 210 oy oM ok i ” En 1 o—AWy— Fig2 o Oupa P2